%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM925^2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:19:02 AM UTC 2026
% Result : Theorem 1.40s 0.64s
% Output : Refutation 1.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM925^2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.25 % Computer : n010.cluster.edu
% 0.13/0.25 % Model : x86_64 x86_64
% 0.13/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.25 % Memory : 8046.5625MB
% 0.13/0.25 % OS : Linux 6.8.0-71-generic
% 0.13/0.25 % CPULimit : 300
% 0.13/0.25 % WCLimit : 300
% 0.13/0.25 % DateTime : Tue Sep 29 13:05:18 UTC 2026
% 0.13/0.26 % CPUTime :
% 0.13/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.31 Running higher-order theorem proving
% 0.36/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.29/0.60 % (2815536)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.29/0.60 % (2815547)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.29/0.60 % (2815547)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.29/0.60 % (2815547)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=4095411566:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.29/0.60 % (2815544)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3349487052:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 1.29/0.60 % (2815541)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1644533974:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.29/0.60 % (2815542)lrs+10_16_si=on:nwc=1.5:random_seed=1805303628:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.29/0.60 % (2815543)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4164310825:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.29/0.60 % (2815545)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2108221613:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.29/0.60 % (2815546)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2749109791:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.29/0.60 % (2815543)Instruction limit reached!
% 1.29/0.60 % (2815543)------------------------------
% 1.29/0.60 % (2815543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.60 % (2815543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.60 % (2815543)CaDiCaL version: 2.1.3
% 1.29/0.60 % (2815543)Termination reason: Instruction limit
% 1.29/0.60 % (2815543)Termination phase: shuffling
% 1.29/0.60 % (2815543)Time elapsed: 0.003 s
% 1.29/0.60 % (2815543)Peak memory usage: 10 MB
% 1.29/0.60 % (2815543)Instructions burned: 3 (million)
% 1.29/0.60 % (2815542)Instruction limit reached!
% 1.29/0.60 % (2815542)------------------------------
% 1.29/0.60 % (2815542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.60 % (2815542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.60 % (2815542)CaDiCaL version: 2.1.3
% 1.29/0.60 % (2815542)Termination reason: Instruction limit
% 1.29/0.60 % (2815542)Termination phase: shuffling
% 1.29/0.60 % (2815542)Time elapsed: 0.016 s
% 1.29/0.60 % (2815542)Peak memory usage: 10 MB
% 1.29/0.60 % (2815542)Instructions burned: 19 (million)
% 1.29/0.60 % (2815545)Instruction limit reached!
% 1.29/0.60 % (2815545)------------------------------
% 1.29/0.60 % (2815545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.60 % (2815545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.60 % (2815545)CaDiCaL version: 2.1.3
% 1.29/0.60 % (2815545)Termination reason: Instruction limit
% 1.29/0.60 % (2815545)Termination phase: shuffling
% 1.29/0.60 % (2815545)Time elapsed: 0.022 s
% 1.29/0.60 % (2815545)Peak memory usage: 10 MB
% 1.29/0.60 % (2815545)Instructions burned: 26 (million)
% 1.29/0.60 % (2815555)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3003732968:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.29/0.60 % (2815555)Instruction limit reached!
% 1.29/0.60 % (2815555)------------------------------
% 1.29/0.60 % (2815555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.29/0.60 % (2815555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.29/0.60 % (2815555)CaDiCaL version: 2.1.3
% 1.29/0.60 % (2815555)Termination reason: Instruction limit
% 1.29/0.60 % (2815555)Termination phase: shuffling
% 1.29/0.60 % (2815555)Time elapsed: 0.002 s
% 1.29/0.60 % (2815555)Peak memory usage: 10 MB
% 1.29/0.60 % (2815555)Instructions burned: 3 (million)
% 1.29/0.60 % (2815556)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=59056548:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.40/0.64 % (2815557)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.40/0.64 % (2815559)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1927583333:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.40/0.64 % (2815556)Instruction limit reached!
% 1.40/0.64 % (2815556)------------------------------
% 1.40/0.64 % (2815556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815556)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815556)Termination reason: Instruction limit
% 1.40/0.64 % (2815556)Termination phase: shuffling
% 1.40/0.64 % (2815556)Time elapsed: 0.005 s
% 1.40/0.64 % (2815556)Peak memory usage: 10 MB
% 1.40/0.64 % (2815556)Instructions burned: 6 (million)
% 1.40/0.64 % (2815547)Instruction limit reached!
% 1.40/0.64 % (2815547)------------------------------
% 1.40/0.64 % (2815547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815547)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815547)Termination reason: Instruction limit
% 1.40/0.64 % (2815547)Termination phase: Saturation
% 1.40/0.64 % (2815547)Time elapsed: 0.067 s
% 1.40/0.64 % (2815547)Peak memory usage: 14 MB
% 1.40/0.64 % (2815547)Instructions burned: 158 (million)
% 1.40/0.64 % (2815557)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2177708333:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.40/0.64 % (2815559)Instruction limit reached!
% 1.40/0.64 % (2815559)------------------------------
% 1.40/0.64 % (2815559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815559)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815559)Termination reason: Instruction limit
% 1.40/0.64 % (2815559)Termination phase: shuffling
% 1.40/0.64 % (2815559)Time elapsed: 0.009 s
% 1.40/0.64 % (2815559)Peak memory usage: 10 MB
% 1.40/0.64 % (2815559)Instructions burned: 20 (million)
% 1.40/0.64 % (2815546)Instruction limit reached!
% 1.40/0.64 % (2815546)------------------------------
% 1.40/0.64 % (2815546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815557)Instruction limit reached!
% 1.40/0.64 % (2815557)------------------------------
% 1.40/0.64 % (2815557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815557)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815546)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815557)Termination reason: Instruction limit
% 1.40/0.64 % (2815557)Termination phase: shuffling
% 1.40/0.64 % (2815546)Termination reason: Instruction limit
% 1.40/0.64 % (2815546)Termination phase: Preprocessing 3
% 1.40/0.64 % (2815557)Time elapsed: 0.007 s
% 1.40/0.64 % (2815546)Time elapsed: 0.061 s
% 1.40/0.64 % (2815557)Peak memory usage: 10 MB
% 1.40/0.64 % (2815546)Peak memory usage: 12 MB
% 1.40/0.64 % (2815557)Instructions burned: 7 (million)
% 1.40/0.64 % (2815546)Instructions burned: 75 (million)
% 1.40/0.64 % (2815541)Instruction limit reached!
% 1.40/0.64 % (2815541)------------------------------
% 1.40/0.64 % (2815541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815541)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815541)Termination reason: Instruction limit
% 1.40/0.64 % (2815541)Termination phase: Property scanning
% 1.40/0.64 % (2815541)Time elapsed: 0.072 s
% 1.40/0.64 % (2815541)Peak memory usage: 12 MB
% 1.40/0.64 % (2815541)Instructions burned: 87 (million)
% 1.40/0.64 % (2815566)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.40/0.64 % (2815566)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=2135222679:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.40/0.64 % (2815563)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.40/0.64 % (2815563)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.40/0.64 % (2815566)Instruction limit reached!
% 1.40/0.64 % (2815566)------------------------------
% 1.40/0.64 % (2815566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815566)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815566)Termination reason: Instruction limit
% 1.40/0.64 % (2815566)Termination phase: shuffling
% 1.40/0.64 % (2815566)Time elapsed: 0.004 s
% 1.40/0.64 % (2815566)Peak memory usage: 10 MB
% 1.40/0.64 % (2815566)Instructions burned: 7 (million)
% 1.40/0.64 % (2815563)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=715595250:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.40/0.64 % (2815565)lrs+10_1_si=on:cs=on:random_seed=491210454:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.40/0.64 % (2815564)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=600807506:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.40/0.64 % (2815567)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3042044271:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.40/0.64 % (2815565)Instruction limit reached!
% 1.40/0.64 % (2815565)------------------------------
% 1.40/0.64 % (2815565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815565)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815565)Termination reason: Instruction limit
% 1.40/0.64 % (2815565)Termination phase: shuffling
% 1.40/0.64 % (2815565)Time elapsed: 0.008 s
% 1.40/0.64 % (2815565)Peak memory usage: 10 MB
% 1.40/0.64 % (2815565)Instructions burned: 8 (million)
% 1.40/0.64 % (2815570)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3087953485:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.40/0.64 % (2815568)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=990213734:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.40/0.64 % (2815563)Instruction limit reached!
% 1.40/0.64 % (2815563)------------------------------
% 1.40/0.64 % (2815563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815563)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815563)Termination reason: Instruction limit
% 1.40/0.64 % (2815563)Termination phase: shuffling
% 1.40/0.64 % (2815563)Time elapsed: 0.023 s
% 1.40/0.64 % (2815563)Peak memory usage: 11 MB
% 1.40/0.64 % (2815563)Instructions burned: 28 (million)
% 1.40/0.64 % (2815570)Instruction limit reached!
% 1.40/0.64 % (2815570)------------------------------
% 1.40/0.64 % (2815570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815570)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815570)Termination reason: Instruction limit
% 1.40/0.64 % (2815570)Termination phase: shuffling
% 1.40/0.64 % (2815570)Time elapsed: 0.012 s
% 1.40/0.64 % (2815570)Peak memory usage: 11 MB
% 1.40/0.64 % (2815570)Instructions burned: 27 (million)
% 1.40/0.64 % (2815567)Instruction limit reached!
% 1.40/0.64 % (2815567)------------------------------
% 1.40/0.64 % (2815567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815567)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815567)Termination reason: Instruction limit
% 1.40/0.64 % (2815567)Termination phase: Property scanning
% 1.40/0.64 % (2815567)Time elapsed: 0.031 s
% 1.40/0.64 % (2815567)Peak memory usage: 11 MB
% 1.40/0.64 % (2815567)Instructions burned: 39 (million)
% 1.40/0.64 % (2815575)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=4089070847:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.40/0.64 % (2815579)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1637133986:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.40/0.64 % (2815578)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2206568048:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.40/0.64 % (2815575)Instruction limit reached!
% 1.40/0.64 % (2815575)------------------------------
% 1.40/0.64 % (2815575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815575)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815575)Termination reason: Instruction limit
% 1.40/0.64 % (2815575)Termination phase: shuffling
% 1.40/0.64 % (2815575)Time elapsed: 0.013 s
% 1.40/0.64 % (2815575)Peak memory usage: 10 MB
% 1.40/0.64 % (2815575)Instructions burned: 15 (million)
% 1.40/0.64 % (2815580)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2252396393:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.40/0.64 % (2815579)Instruction limit reached!
% 1.40/0.64 % (2815579)------------------------------
% 1.40/0.64 % (2815579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815579)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815579)Termination reason: Instruction limit
% 1.40/0.64 % (2815579)Termination phase: shuffling
% 1.40/0.64 % (2815579)Time elapsed: 0.009 s
% 1.40/0.64 % (2815579)Peak memory usage: 11 MB
% 1.40/0.64 % (2815579)Instructions burned: 15 (million)
% 1.40/0.64 % (2815580)Instruction limit reached!
% 1.40/0.64 % (2815580)------------------------------
% 1.40/0.64 % (2815580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815580)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815580)Termination reason: Instruction limit
% 1.40/0.64 % (2815580)Termination phase: shuffling
% 1.40/0.64 % (2815580)Time elapsed: 0.002 s
% 1.40/0.64 % (2815580)Peak memory usage: 11 MB
% 1.40/0.64 % (2815580)Instructions burned: 3 (million)
% 1.40/0.64 % (2815564)Instruction limit reached!
% 1.40/0.64 % (2815564)------------------------------
% 1.40/0.64 % (2815564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815564)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815564)Termination reason: Instruction limit
% 1.40/0.64 % (2815564)Termination phase: Property scanning
% 1.40/0.64 % (2815564)Time elapsed: 0.069 s
% 1.40/0.64 % (2815564)Peak memory usage: 12 MB
% 1.40/0.64 % (2815564)Instructions burned: 86 (million)
% 1.40/0.64 % (2815544) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2815536-2815544"...
% 1.40/0.64 % (2815586)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2511369335:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.40/0.64 % (2815544)...printing done.
% 1.40/0.64 % (2815544)Refutation found. Thanks to Tanya!
% 1.40/0.64 % SZS status Theorem for theBenchmark
% 1.40/0.64 % SZS output start Proof for theBenchmark
% 1.40/0.64 thf(type_def_5, type, int: $tType).
% 1.40/0.64 thf(type_def_6, type, nat: $tType).
% 1.40/0.64 thf(type_def_7, type, real: $tType).
% 1.40/0.64 thf(type_def_8, type, sTfun: ($tType * $tType) > $tType).
% 1.40/0.64 thf(func_def_0, type, one_one_int: int).
% 1.40/0.64 thf(func_def_1, type, one_one_nat: nat).
% 1.40/0.64 thf(func_def_2, type, one_one_real: real).
% 1.40/0.64 thf(func_def_3, type, plus_plus_int: (int > int > int)).
% 1.40/0.64 thf(func_def_4, type, plus_plus_nat: (nat > nat > nat)).
% 1.40/0.64 thf(func_def_5, type, plus_plus_real: (real > real > real)).
% 1.40/0.64 thf(func_def_6, type, times_times_int: (int > int > int)).
% 1.40/0.64 thf(func_def_7, type, zero_zero_int: int).
% 1.40/0.64 thf(func_def_8, type, zero_zero_nat: nat).
% 1.40/0.64 thf(func_def_9, type, zero_zero_real: real).
% 1.40/0.64 thf(func_def_10, type, if_nat: ($o > nat > nat > nat)).
% 1.40/0.64 thf(func_def_11, type, bit0: (int > int)).
% 1.40/0.64 thf(func_def_12, type, bit1: (int > int)).
% 1.40/0.64 thf(func_def_13, type, pls: int).
% 1.40/0.64 thf(func_def_14, type, number_number_of_int: (int > int)).
% 1.40/0.64 thf(func_def_15, type, number_number_of_nat: (int > nat)).
% 1.40/0.64 thf(func_def_16, type, number267125858f_real: (int > real)).
% 1.40/0.64 thf(func_def_17, type, succ: (int > int)).
% 1.40/0.64 thf(func_def_18, type, semiri1621563631at_int: (nat > int)).
% 1.40/0.64 thf(func_def_19, type, semiri984289939at_nat: (nat > nat)).
% 1.40/0.64 thf(func_def_20, type, semiri132038758t_real: (nat > real)).
% 1.40/0.64 thf(func_def_21, type, sqrt: (real > real)).
% 1.40/0.64 thf(func_def_22, type, ord_less_int: (int > int > $o)).
% 1.40/0.64 thf(func_def_23, type, ord_less_nat: (nat > nat > $o)).
% 1.40/0.64 thf(func_def_24, type, ord_less_real: (real > real > $o)).
% 1.40/0.64 thf(func_def_25, type, ord_less_eq_int: (int > int > $o)).
% 1.40/0.64 thf(func_def_26, type, ord_less_eq_nat: (nat > nat > $o)).
% 1.40/0.64 thf(func_def_27, type, ord_less_eq_real: (real > real > $o)).
% 1.40/0.64 thf(func_def_28, type, power_power_int: (int > nat > int)).
% 1.40/0.64 thf(func_def_29, type, power_power_nat: (nat > nat > nat)).
% 1.40/0.64 thf(func_def_30, type, power_power_real: (real > nat > real)).
% 1.40/0.64 thf(func_def_31, type, m1: int).
% 1.40/0.64 thf(func_def_32, type, n: nat).
% 1.40/0.64 thf(func_def_33, type, t: int).
% 1.40/0.64 thf(func_def_34, type, tn: nat).
% 1.40/0.64 thf(func_def_38, type, sK0: (int > int > nat)).
% 1.40/0.64 thf(func_def_39, type, sK1: (nat > (nat > $o) > nat)).
% 1.40/0.64 thf(func_def_40, type, sK2: (real > real > real)).
% 1.40/0.64 thf(func_def_41, type, sK3: (real > nat > real)).
% 1.40/0.64 thf(func_def_42, type, sK4: (int > nat)).
% 1.40/0.64 thf(func_def_43, type, sK5: (nat > (nat > $o) > nat)).
% 1.40/0.64 thf(func_def_44, type, sK6: (int > nat)).
% 1.40/0.64 thf(func_def_45, type, sK7: ((int > $o) > int > int)).
% 1.40/0.64 thf(func_def_46, type, sK8: (nat > nat > nat)).
% 1.40/0.64 thf(func_def_47, type, sK9: ((nat > nat) > nat)).
% 1.40/0.64 thf(func_def_48, type, sK10: ((nat > nat) > nat)).
% 1.40/0.64 thf(func_def_49, type, sK11: ((int > $o) > int)).
% 1.40/0.64 thf(func_def_50, type, sK12: ((int > $o) > nat)).
% 1.40/0.64 thf(func_def_51, type, sK13: (nat > nat > nat)).
% 1.40/0.64 thf(func_def_52, type, sK14: ((int > $o) > nat)).
% 1.40/0.64 thf(func_def_53, type, sK15: ((int > $o) > int)).
% 1.40/0.64 thf(func_def_54, type, sK16: (nat > real > real)).
% 1.40/0.64 thf(func_def_55, type, sK17: (int > nat)).
% 1.40/0.64 thf(func_def_56, type, sK18: ((nat > nat) > nat)).
% 1.40/0.64 thf(func_def_57, type, sK19: ((nat > nat) > nat)).
% 1.40/0.64 thf(func_def_58, type, sK20: (int > (int > $o) > int)).
% 1.40/0.64 thf(func_def_59, type, sK21: (int > nat)).
% 1.40/0.64 thf(func_def_60, type, vNOT: ($o > $o)).
% 1.40/0.64 thf(func_def_62, type, inv_bit0_23: (int > int)).
% 1.40/0.64 thf(func_def_63, type, inv_semiri1621563631at_int_24: (int > nat)).
% 1.40/0.64 thf(func_def_64, type, inv_bit1_25: (int > int)).
% 1.40/0.64 thf(f1,axiom,(
% 1.40/0.64 (ord_less_int @ zero_zero_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))),
% 1.40/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_n1pos)).
% 1.40/0.64 thf(f8,axiom,(
% 1.40/0.64 (((power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) = zero_zero_int)),
% 1.40/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_zero__power2)).
% 1.40/0.64 thf(f134,axiom,(
% 1.40/0.64 ! [X0 : int] : ((ord_less_int @ zero_zero_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) <=> (X0 != zero_zero_int))),
% 1.40/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_133_zero__less__power2)).
% 1.40/0.64 thf(f286,axiom,(
% 1.40/0.64 ! [X1 : nat,X0 : int] : ((((power_power_int @ X0 @ X1)) = zero_zero_int) <=> ((X0 = zero_zero_int) & (X1 != zero_zero_nat)))),
% 1.40/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_power__eq__0__iff)).
% 1.40/0.64 thf(f703,conjecture,(
% 1.40/0.64 (((power_power_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) != zero_zero_int)),
% 1.40/0.64 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 1.40/0.64 thf(f704,negated_conjecture,(
% 1.40/0.64 ~ (((power_power_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) != zero_zero_int)),
% 1.40/0.64 inference(negated_conjecture,[status(cth)],[f703])).
% 1.40/0.64 thf(f1380,plain,(
% 1.40/0.64 ! [X0 : int] : ((ord_less_int @ zero_zero_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))) <=> (X0 != zero_zero_int))),
% 1.40/0.64 inference(rectify,[],[f134])).
% 1.40/0.64 thf(f1381,plain,(
% 1.40/0.64 ! [X0 : int] : ((zero_zero_int != X0) <=> (((ord_less_int @ zero_zero_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) = $true))),
% 1.40/0.64 inference(fool_elimination,[],[f1380])).
% 1.40/0.64 thf(f1552,plain,(
% 1.40/0.64 (ord_less_int @ zero_zero_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))),
% 1.40/0.64 inference(rectify,[],[f1])).
% 1.40/0.64 thf(f1553,plain,(
% 1.40/0.64 (((ord_less_int @ zero_zero_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) = $true)),
% 1.40/0.64 inference(fool_elimination,[],[f1552])).
% 1.40/0.64 thf(f1639,plain,(
% 1.40/0.64 ! [X0 : nat,X1 : int] : (((zero_zero_nat != X0) & (zero_zero_int = X1)) <=> (zero_zero_int = ((power_power_int @ X1 @ X0))))),
% 1.40/0.64 inference(rectify,[],[f286])).
% 1.40/0.64 thf(f1714,plain,(
% 1.40/0.64 (zero_zero_int = ((power_power_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))),
% 1.40/0.64 inference(flattening,[],[f704])).
% 1.40/0.64 thf(f2180,plain,(
% 1.40/0.64 ! [X0 : nat,X1 : int] : ((((zero_zero_nat != X0) & (zero_zero_int = X1)) | (zero_zero_int != ((power_power_int @ X1 @ X0)))) & ((zero_zero_int = ((power_power_int @ X1 @ X0))) | ((zero_zero_nat = X0) | (zero_zero_int != X1))))),
% 1.40/0.64 inference(nnf_transformation,[],[f1639])).
% 1.40/0.64 thf(f2181,plain,(
% 1.40/0.64 ! [X0 : nat,X1 : int] : ((((zero_zero_nat != X0) & (zero_zero_int = X1)) | (zero_zero_int != ((power_power_int @ X1 @ X0)))) & ((zero_zero_int = ((power_power_int @ X1 @ X0))) | (zero_zero_nat = X0) | (zero_zero_int != X1)))),
% 1.40/0.64 inference(flattening,[],[f2180])).
% 1.40/0.64 thf(f2182,plain,(
% 1.40/0.64 ! [X0 : int] : (((zero_zero_int != X0) | (((ord_less_int @ zero_zero_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) != $true)) & ((((ord_less_int @ zero_zero_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) = $true) | (zero_zero_int = X0)))),
% 1.40/0.64 inference(nnf_transformation,[],[f1381])).
% 1.40/0.64 thf(f2620,plain,(
% 1.40/0.64 ( ! [X0 : nat,X1 : int] : ((zero_zero_int != ((power_power_int @ X1 @ X0))) | (zero_zero_int = X1)) )),
% 1.40/0.64 inference(cnf_transformation,[],[f2181])).
% 1.40/0.64 thf(f2626,plain,(
% 1.40/0.64 ( ! [X0 : int] : ((zero_zero_int != X0) | (((ord_less_int @ zero_zero_int @ (power_power_int @ X0 @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) != $true)) )),
% 1.40/0.64 inference(cnf_transformation,[],[f2182])).
% 1.40/0.64 thf(f2757,plain,(
% 1.40/0.64 (zero_zero_int = ((power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))),
% 1.40/0.64 inference(cnf_transformation,[],[f8])).
% 1.40/0.64 thf(f2927,plain,(
% 1.40/0.64 (((ord_less_int @ zero_zero_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) = $true)),
% 1.40/0.64 inference(cnf_transformation,[],[f1553])).
% 1.40/0.64 thf(f3254,plain,(
% 1.40/0.64 (zero_zero_int = ((power_power_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))),
% 1.40/0.64 inference(cnf_transformation,[],[f1714])).
% 1.40/0.64 thf(f3462,plain,(
% 1.40/0.64 ($true != ((ord_less_int @ zero_zero_int @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))))),
% 1.40/0.64 inference(equality_resolution,[],[f2626])).
% 1.40/0.64 thf(f3876,definition,(
% 1.40/0.64 spl22_13 <=> (zero_zero_int = ((power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))),
% 1.40/0.64 introduced(definition,[new_symbols(definition,[spl22_13])],[avatar_definition])).
% 1.40/0.64 thf(f3879,plain,(
% 1.40/0.64 spl22_13),
% 1.40/0.64 inference(avatar_split_clause,[],[f2757,f3876])).
% 1.40/0.64 thf(f4041,definition,(
% 1.40/0.64 spl22_46 <=> (((ord_less_int @ zero_zero_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) = $true)),
% 1.40/0.64 introduced(definition,[new_symbols(definition,[spl22_46])],[avatar_definition])).
% 1.40/0.64 thf(f4044,plain,(
% 1.40/0.64 spl22_46),
% 1.40/0.64 inference(avatar_split_clause,[],[f2927,f4041])).
% 1.40/0.64 thf(f4121,definition,(
% 1.40/0.64 spl22_62 <=> (zero_zero_int = ((power_power_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls))))))),
% 1.40/0.64 introduced(definition,[new_symbols(definition,[spl22_62])],[avatar_definition])).
% 1.40/0.64 thf(f4123,plain,(
% 1.40/0.64 (zero_zero_int = ((power_power_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)) @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) | ~spl22_62),
% 1.40/0.64 inference(avatar_component_clause,[],[f4121])).
% 1.40/0.64 thf(f4124,plain,(
% 1.40/0.64 spl22_62),
% 1.40/0.64 inference(avatar_split_clause,[],[f3254,f4121])).
% 1.40/0.64 thf(f4126,definition,(
% 1.40/0.64 spl22_63 <=> ($true = ((ord_less_int @ zero_zero_int @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))))),
% 1.40/0.64 introduced(definition,[new_symbols(definition,[spl22_63])],[avatar_definition])).
% 1.40/0.64 thf(f4129,plain,(
% 1.40/0.64 ~spl22_63),
% 1.40/0.64 inference(avatar_split_clause,[],[f3462,f4126])).
% 1.40/0.64 thf(f4255,plain,(
% 1.40/0.64 (zero_zero_int = ((plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) | (zero_zero_int != zero_zero_int) | ~spl22_62),
% 1.40/0.64 inference(superposition,[],[f2620,f4123])).
% 1.40/0.64 thf(f4259,plain,(
% 1.40/0.64 (zero_zero_int = ((plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) | ~spl22_62),
% 1.40/0.64 inference(trivial_inequality_removal,[],[f4255])).
% 1.40/0.64 thf(f4262,definition,(
% 1.40/0.64 spl22_81 <=> (zero_zero_int = ((plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n))))),
% 1.40/0.64 introduced(definition,[new_symbols(definition,[spl22_81])],[avatar_definition])).
% 1.40/0.64 thf(f4265,plain,(
% 1.40/0.64 spl22_81 | ~spl22_62),
% 1.40/0.64 inference(avatar_split_clause,[],[f4259,f4121,f4262])).
% 1.40/0.64 thf(f4268,definition,(
% 1.40/0.64 (zero_zero_int != ((power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))) | (zero_zero_int != ((plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) | (((ord_less_int @ zero_zero_int @ (plus_plus_int @ one_one_int @ (semiri1621563631at_int @ n)))) != $true) | ($true = ((ord_less_int @ zero_zero_int @ (power_power_int @ zero_zero_int @ (number_number_of_nat @ (bit0 @ (bit1 @ pls)))))))),
% 1.40/0.64 introduced(theory,[theory_tautology_sat_conflict])).
% 1.40/0.64 cnf(s14, plain, spl22_13, inference(sat_conversion,[],[f3879])).
% 1.40/0.64 cnf(s52, plain, spl22_46, inference(sat_conversion,[],[f4044])).
% 1.40/0.64 cnf(s75, plain, spl22_62, inference(sat_conversion,[],[f4124])).
% 1.40/0.64 cnf(s80, plain, ~spl22_63, inference(sat_conversion,[],[f4129])).
% 1.40/0.64 cnf(s119, plain, ~spl22_62 | spl22_81, inference(sat_conversion,[],[f4265])).
% 1.40/0.64 cnf(s122, plain, ~spl22_13 | ~spl22_46 | spl22_63 | ~spl22_81, inference(sat_conversion,[],[f4268])).
% 1.40/0.64 cnf(s125, plain, spl22_81, inference(rat,[],[s119,s75])).
% 1.40/0.64 cnf(s127, plain, ~spl22_13, inference(rat,[],[s122,s125,s80,s52])).
% 1.40/0.64 cnf(s132, plain, $false, inference(rat,[],[s14,s127])).
% 1.40/0.64 thf(f4271,plain,(
% 1.40/0.64 $false),
% 1.40/0.64 inference(avatar_sat_refutation,[],[s132])).
% 1.40/0.64 % SZS output end Proof for theBenchmark
% 1.40/0.64 % (2815544)------------------------------
% 1.40/0.64 % (2815544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.64 % (2815544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.64 % (2815544)CaDiCaL version: 2.1.3
% 1.40/0.64 % (2815544)Termination reason: Refutation
% 1.40/0.64 % (2815544)Time elapsed: 0.168 s
% 1.40/0.64 % (2815544)Peak memory usage: 15 MB
% 1.40/0.64 % (2815544)Instructions burned: 203 (million)
% 1.40/0.64 % (2815536)Success in time 0.238 s
% 1.40/0.64 % Vampire exiting
%------------------------------------------------------------------------------